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Finding the Fourth Proportional to 312,719.44, 431,551.74 and 169,483

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Solution

The fourth proportional to 312,719.44, 431,551.74 and 169,483 is: 233,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,719.44 : 431,551.74 = 169,483 : x
  2. Step 2: Convert to fraction form
    312,719.44/431,551.74 = 169,483/x
  3. Step 3: Cross multiply
    312,719.44x = 431,551.74 × 169,483
  4. Step 4: Simplify right side
    312,719.44x = 73,140,683,550.42
  5. Step 5: Solve for x
    x = 73,140,683,550.42/312,719.44
  6. Step 6: Final answer
    x = 233,885.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.